Question

What is the domain of the function represented by the list of ordered pairs? {(0,2),(−3,6),(4,8),(2,5),(−2,4)}

a. {2,6,8,5,4}
b. {2,0,−3,4,−2}
c.{8,0,−3,4,−2}
d.{5,6,0,−3,4,−2}

Answer 1

The domain of the function given by the list of ordered pairs {(0,2),(-3,6),(4,8),(2,5),(-2,4)} is the set {0, -3, 4, 2, -2}, which is option (b).

Step-by-step explanation:

The domain of a function is the set of all possible input values (usually x-values) for which the function is defined. In the context of a function represented by a list of ordered pairs, the domain is simply the set of the first elements from each ordered pair. Given the list of ordered pairs {(0,2),(-3,6),(4,8),(2,5),(-2,4)}, we look only at the x-values to determine the domain.

The domain of the given function is therefore {0, -3, 4, 2, -2}, which corresponds to option (b).